Citation
Ahmad Jamri, Ayu Ameliatul Shahilah and Said Husain, Sharifah Kartini and Rakhimov, Isamiddin Sattarovich
(2016)
Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra.
In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-8).
Abstract
In this talk we propose a graphical representation of some classes of Leibniz algebras. With each of algebra from these classes we associate a graph. This assignment enables us to reformulate some structural properties of the Leibniz algebras in terms of some conditions for the graphs. The talk focuses on a so-called filiform Leibniz algebras. It is well-known that this class is split into three subclasses called first, second and third class denoted, in dimension n over a field K, by FLbn(K), SLbn(K) and TLbn(K), respectively. In this article, we concern more on the combinatorial structures associated with SLbn(K) in low-dimensions.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4995834 |
| Publisher: | AIP Publishing |
| Keywords: | Leibniz algebras; Filiform Leibniz algebras; Graph theory |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 25 Oct 2017 01:37 |
| Last Modified: | 25 Oct 2017 01:37 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4995834 |
| URI: | http://psasir.upm.edu.my/id/eprint/57665 |
| Statistic Details: | View Download Statistic |
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